Finding the Fourth Proportional to 1,542,249,165.18, 2,128,303,847.95 and 882,199,443.18
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Solution
The fourth proportional to 1,542,249,165.18, 2,128,303,847.95 and 882,199,443.18 is: 1,217,435,231.59
Step by Step Solution
- Step 1: Write the proportion equation
1,542,249,165.18 : 2,128,303,847.95 = 882,199,443.18 : x - Step 2: Convert to fraction form
1,542,249,165.18/2,128,303,847.95 = 882,199,443.18/x - Step 3: Cross multiply
1,542,249,165.18x = 2,128,303,847.95 × 882,199,443.18 - Step 4: Simplify right side
1,542,249,165.18x = 1,877,588,469,586,056,192 - Step 5: Solve for x
x = 1,877,588,469,586,056,192/1,542,249,165.18 - Step 6: Final answer
x = 1,217,435,231.59
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.